Pith Number

pith:TUUXLU73

pith:2025:TUUXLU73BUT5XWW3MYPACKQL4V

not attested not anchored not stored refs pending

Constructing stable Hilbert bundles via Diophantine approximation

Biao Ma, Yucheng Liu

arxiv:2501.15784 v3 · 2025-01-27 · math.DG · math-ph · math.AG · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TUUXLU73BUT5XWW3MYPACKQL4V}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-07-05T11:32:23.613706Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d2975d3fb0d27dbdadb661e012a0be55e9f7facd2ffb26bbb47b46cd1cc99e0

Aliases

arxiv: 2501.15784 · arxiv_version: 2501.15784v3 · doi: 10.48550/arxiv.2501.15784 · pith_short_12: TUUXLU73BUT5 · pith_short_16: TUUXLU73BUT5XWW3 · pith_short_8: TUUXLU73

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/TUUXLU73BUT5XWW3MYPACKQL4V \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 9d2975d3fb0d27dbdadb661e012a0be55e9f7facd2ffb26bbb47b46cd1cc99e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "45dca7c1a86a9a785bc527b4e8f476452579c89fa5ebdcd2fbe5bf5e9f3359e1",
    "cross_cats_sorted": [
      "math-ph",
      "math.AG",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2025-01-27T05:15:05Z",
    "title_canon_sha256": "27e7c4624e51b4546c5c6a6247d447289ae22c33480bc53af185aa5a8ac9593d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.15784",
    "kind": "arxiv",
    "version": 3
  }
}